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Finding the Fourth Proportional to 71,203.85, 106,811.85 and 18,613.25

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Solution

The fourth proportional to 71,203.85, 106,811.85 and 18,613.25 is: 27,921.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,203.85 : 106,811.85 = 18,613.25 : x
  2. Step 2: Convert to fraction form
    71,203.85/106,811.85 = 18,613.25/x
  3. Step 3: Cross multiply
    71,203.85x = 106,811.85 × 18,613.25
  4. Step 4: Simplify right side
    71,203.85x = 1,988,115,667.01
  5. Step 5: Solve for x
    x = 1,988,115,667.01/71,203.85
  6. Step 6: Final answer
    x = 27,921.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.